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Search: id:A155449
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| A155449 |
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Numbers n such that n^2 == 2 mod 17. |
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+0
3
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| 6, 11, 23, 28, 40, 45, 57, 62, 74, 79, 91, 96, 108, 113, 125, 130, 142, 147, 159, 164, 176, 181, 193, 198, 210, 215, 227, 232, 244, 249, 261, 266, 278, 283, 295, 300, 312, 317, 329, 334, 346, 351, 363, 368, 380, 385, 397, 402, 414, 419, 431, 436, 448, 453
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Except for the first term, a(n)=17*n-a(n-1), (with a(1)=11) Example: for n=2, a(2)=17*2-11=23; n=3, a(3)=17*3-23=28; n=4, a(4)=17*4-28=40 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Oct 22 2009]
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FORMULA
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a(n)=a(n-1)+a(n-2)-a(n-3), with a(1)=6, a(2)=11, a(3)=23.
a(n)=(1/4)*[17+7*(-1)^(n-1)+34*(n-1)], with n>=1 [From Paolo P. Lava (ppl(AT)spl.at), Jan 26 2009]
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EXAMPLE
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For n=4, a(4)=a(3)+a(2)-a(1)=23+11-6=28; n=5, a(5)=28+23-11=40
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CROSSREFS
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Cf. A054580, A155450
Sequence in context: A000383 A083575 A046616 this_sequence A063629 A093027 A109296
Adjacent sequences: A155446 A155447 A155448 this_sequence A155450 A155451 A155452
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KEYWORD
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nonn
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AUTHOR
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Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Jan 22 2009
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